Mathematics : asked on emmdolzx
 13.01.2021

The table shows the distance a runner covers during a race:

time, x

(minutes)

distance, y

(miles)
5 0.5
10 1
15 1.5
20 2
25 2.5
which equation represents the relationship between x and y?

a. y = 0.5x
b. y = 10x
c. y = x + 10
d. y = 110x

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Step-by-step answer

30.05.2023, solved by verified expert
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b. y=10x

Step-by-step explanation:

here, x represents time(minutes) : 0.5

                                                             1

                                                            1.5

                                                             2

                                                            2.5

y represents distance (miles): 5

                                                 10

                                                 15

                                                 20

                                                 25

to write any equation(linear) basically we need 2 points lying on it

let the 2 points be:  (1,10) and (2,20) [from the given information]

now, let (A,B) and (C,D) are two points on a line

then the equation of it can be given as :

The table shows the distance a runner covers, №16486855, 13.01.2021 13:34

so, here the required equation will be,

The table shows the distance a runner covers, №16486855, 13.01.2021 13:34

this is also equal to, The table shows the distance a runner covers, №16486855, 13.01.2021 13:34

therefore, option c represents the relationship between x and y.[trick: when you have options, you can directly substitute x and respective y values and check if the equation satisfies it. the equation which satisfies all the x and respective y values will be the correct equation.]
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Mathematics
Step-by-step answer
P Answered by Specialist

b. y=10x

Step-by-step explanation:

here, x represents time(minutes) : 0.5

                                                             1

                                                            1.5

                                                             2

                                                            2.5

y represents distance (miles): 5

                                                 10

                                                 15

                                                 20

                                                 25

to write any equation(linear) basically we need 2 points lying on it

let the 2 points be:  (1,10) and (2,20) [from the given information]

now, let (A,B) and (C,D) are two points on a line

then the equation of it can be given as :

y-B=(\frac{D-B}{C-A} )*(x-A)

so, here the required equation will be,

y-10=(\frac{20-10}{2-1} )*(x-1)\\

this is also equal to, y-10=10*(x-1)\\y-10=10x-10\\y     =10x-10+10\\y=10x

therefore, option c represents the relationship between x and y.[trick: when you have options, you can directly substitute x and respective y values and check if the equation satisfies it. the equation which satisfies all the x and respective y values will be the correct equation.]
Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 

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